The concept of a framed vertex operator algebra (FVOA) is new (cf. [DGH]). This article contributes to this theory with a full analysis of all Virasoro frame stabilizers in V , the important example of the E8 level 1 affine Kac-Moody VOA, which is isomorphic to the lattice VOA for the root lattice of E8(C). We analyze the frame stabilizers, both as abstract groups and as subgroups of Aut(V ) ∼=...

The present work is in essence a continuation of our paper [DM2]. To describe our results we assume that the reader is familiar with the theory of vertex operator algebras (VOA) and their representations (see for example [B], [FLM] and [FHL]). Suppose that V is a holomorphic VOA and G is a finite (and faithful) group of automorphisms of V. It is then a general conjecture that the fixed vertex o...

We demonstrate a novel directly modulated transmitter, based on six-section photonic integrated circuit. The device uses unique master-slave configuration with variable optical attenuator in between, allowing decoupling of cavities and independent control the injection power. VOA also provides ability to find an optimum level that balances trade-off between extinction ratio chirp transmitted si...

In spinal cord stimulation (SCS), concordance of stimulation-induced paresthesia over painful body regions is a necessary condition for therapeutic efficacy. Since patient pain patterns can be unique, a common stimulation configuration is the placement of two leads in parallel in the dorsal epidural space. This construct provides flexibility in steering stimulation current mediolaterally over t...

Vertex operator algebras (VOA) were introduced by Borcherds ( [B] ) as an axiomatic description of the ‘holomorphic part’ of a conformal field theory ( [BPZ] ). An account of the theory of vertex operator algebras may be found in [FLM]. One of the most important examples of VOAs ( [FZ] ) is the Virasoro VOAs, i.e.VOAs corresponding to the representations of the Virasoro algebra L, denoted by Vc...

The motor symptoms of Parkinson's disease (PD) are thought to result from increased inhibitory outflow from the basal ganglia to the pallidal receiving areas of thalamus (ventral oral anterior and posterior-Voa,Vop). To test this hypothesis, we examined the firing rates of neurons in pallidal and cerebellar receiving areas of thalamus in five PD patients and compared them to those of neurons in...

We classify all two-dimensional, unitary, rational conformal field theories with two primaries, central charge $$c<25$$ , and arbitrary Wronskian index. In mathematical parlance, we strongly regular vertex operator algebras (VOAs) exactly simple modules. find that any such theory is either one of the Mathur–Mukhi–Sen (MMS) or it a coset chiral algebra primary (also known as holomorphic VOA) by ...

We provide evidence for the existence of a new strongly-coupled four dimensional $\mathcal{N}=2$ superconformal field theory arising as non-trivial IR fixed point on Coulomb branch mass-deformed Lagrangian with gauge group $G_2$ and fundamental hypermultiplets. Notably, our analysis proceeds by using various geometric constraints to bootstrap data theory, makes no explicit reference Seiberg-Wit...